East Asian mathematical journal
- Volume 19 Issue 2
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- Pages.213-219
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- 2003
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
NON-DIFFERENTIABLE POINTS OF A SELF-SIMILAR CANTOR FUNCTION
- Baek, In-Soo (Department of Mathematics Pusan University of Foreign Studies) ;
- Kim, Young-Ha (Department of Mathematics Pusan University of Foreign Studies)
- Published : 2003.12.31
Abstract
We study the properties of non-diffenrentiable points of a self-similar Cantor function from which we conjecture a generalization of Darst's result that the Hausdorff dimension of the non-diffenrentiable points of the Cantor function is